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Finding the Fourth Proportional to 165.47, 249.68 and 159.14

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Solution

The fourth proportional to 165.47, 249.68 and 159.14 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.47 : 249.68 = 159.14 : x
  2. Step 2: Convert to fraction form
    165.47/249.68 = 159.14/x
  3. Step 3: Cross multiply
    165.47x = 249.68 × 159.14
  4. Step 4: Simplify right side
    165.47x = 39,735.10
  5. Step 5: Solve for x
    x = 39,735.10/165.47
  6. Step 6: Final answer
    x = 240.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.